Use the quotient rule inside of the chain rule

The video tutorial covers the concepts of parent and child functions, focusing on the function FX = X^2 and the inside function G of X. The teacher explains how to find the derivatives of these functions, using the chain rule to simplify the process. Although the class ends before simplification is complete, the teacher highlights the use of distributive property and combining like terms to simplify expressions.

What is the parent function discussed in the video?

• f(x) = 2x

• f(x) = 3x - 1

• f(x) = x^3

• f(x) = x^2

Which of the following represents the inside function g(x)?

• g(x) = 3x + 1

• g(x) = x^2 + 3

• g(x) = 2x

• g(x) = 3x - 1 / (x^2 + 3)

What is the derivative of the parent function f(x) = x^2?

• f'(x) = 3x

• f'(x) = 2x

• f'(x) = x

• f'(x) = x^2

What mathematical concept is used to find the derivative of a composite function?

• Chain Rule

• Power Rule

• Quotient Rule

• Product Rule

What is the main focus of the final section of the video?

• Finding the derivative of a new function

• Discussing the importance of functions

• Simplifying the derivative expression

• Introducing new functions